5958181152000 has 4032 divisors, whose sum is σ = 28907506188288. Its totient is φ = 1186928640000.

The previous prime is 5958181151981. The next prime is 5958181152013. The reversal of 5958181152000 is 2511818595.

It is a happy number.

5958181152000 is a `hidden beast` number, since 5 + 9 + 581 + 8 + 11 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 55683935947 + ... + 55683936053.

It is an arithmetic number, because the mean of its divisors is an integer number (7169520384).

Almost surely, 2^{5958181152000} is an apocalyptic number.

5958181152000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5958181152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453753094144).

5958181152000 is an abundant number, since it is smaller than the sum of its proper divisors (22949325036288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5958181152000 is a wasteful number, since it uses less digits than its factorization.

5958181152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 5958181152000 in words is "five trillion, nine hundred fifty-eight billion, one hundred eighty-one million, one hundred fifty-two thousand".